The non-quantum noises are not directly affected by the choice of tuning; however, most scale inversely with some power of the arm length [1]}, [2]}. Indeed, one of the major technical advantages of the Cosmic Explorer design is that much of the increased sensitivity over the second generation detectors, in the mid to high frequencies, comes from increasing the arm length and does not rely significantly on reducing the displacement noises. The 40 detector is clearly advantageous here and provides a larger margin of error than that of the 20 detector in the event that some noises do not meet their projected sensitivities.
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